CCSS Math: 4.NF.C.6
Review writing decimals as fractions, and try some practice problems.

Writing decimals as fractions

To convert a decimal to a fraction, we write the decimal number as a numerator and we write its place value as the denominator.
If there is a number to the left of the decimal point, we keep that number as a whole number.
Example 1: 0.070.07
0.070.0\blueD7 is 7\blueD7 hundredths\text{\greenD{hundredths}}. So, we write 7\blueD7 over 100\greenD{100}.
0.07=71000.07=\dfrac{\blueD7}{\greenD{100}}
Example 1: 2.12.1
2.1\redC2.\blueD1 is 2\redC2 and 1\blueD1 tenth\text{\greenD{tenth}}. 2\redC2 stays a whole number. Then we write 1\blueD1 over 10\greenD{10}.
2.1=21102.1=\redC2\dfrac{\blueD1}{\greenD{10}}
Want to learn more about writing decimals as fractions? Check out this video.

Practice

Problem 1
Express 0.40.4 as a fraction.
  • Your answer should be
  • a proper fraction, like 1/21/2 or 6/106/10

Want to try more problems like this? Check out this exercise.